Scholium: The phenomenon of Dynamic Electricity through a metallic conductor and of induction are identical. In a metallic conductor, the transmission is from atom to atom, through homologous interstices, filled with ether, presenting small areas in close proximity. In crystalline structures, heat, which expands the atoms, by twisting them produces striae, increases the resistance, etc. Between parallel wires and through air the induction takes place from large areas through a rarefied medium composed of a mixture of substances, whose atoms are separated by waves of repulsion of various pitches, discordant to electric vibrations; the said atoms sympathetically absorb the vibrations and dissipate from themselves, as centers, concentric waves of electric energy which produces heat and gravism." [Keely, 1894]

Commentary May, 2017
An entire book could be written explaining this law and its utility to us. Of course we’re not going to go into that kind of depth here. This law describes the dynamic of electricity; its creative state, transmissive state and effects on other bodies. But then this law is not about electricity per se but about the dynamism of the vibrating atomolic/etheric medium which conducts or conveys the electric stream, flow or current. As Keely says: "Electricity is the oscillation of the atomoles of an atom." [Keely]. So electricity is an effect of the oscillations and vibrations of interatomic or quantum entities - just like we moderns have come to consider electricity as a motion of electrons and protons. This Keely asserts years before the electron and proton were acknowledged to exist.

It is curious Keely says magnetism is a static effect while electricity is the active agent of the pair. He says the vibrations of atoms as a composite of the various contributing and modulating forces of Dyne, volume and weight produces the creative state, source or force electricity which then has a transmissive state or force propagating through various phases of matter and energy producing diverse effects including induction and magnetism. [See Law of Force] This sounds to me like a comprehensive definition of electricity something lacking in our modern science and engineering texts. The phenomenon of electricity and magnetism looked at with these detailed insights makes a lot more sense to me than the conventional views which for the most part are too simplistic. The active and functional dynamic of vibrating atoms and its constituents seems to be ignored in modern views. But they do talk about electrons (an atomic constituent) moving to and fro between holes, etc. in a conductor so maybe modern science is not completely ignoring these base and foundational periodic motions.

[1] Atomolic - "The atomolic substance is what is termed the ether which fills all space and is the transmitting medium for all celestial and terrestrial forces. This is the liquid ether of occult science." [Keely]

"For convenience' sake we will use the term atomolic in place of etheric in our subsequent definitions." [Keely, Dashed Against the Rock, p. 47]